A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions

Authors:	Tomás P. Barrios Edwin M. Behrens Marı´a González

Affiliation:	1. Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Casilla 297, Concepción, Chile;2. Departamento de Ingeniería Civil, Universidad Católica de la Santísima Concepción, Casilla 297, Concepción, Chile;3. Departamento de Matemáticas, Universidad de A Coruña, Campus de Elviña s/n, 15071 A Coruña, Spain;1. Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA;2. Department of Mathematical Sciences, Agri Ibrahim Cecen University, 04100, Agri, Turkey;1. Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005, United States of America;2. Sorbonne Universités, UPMC Univ. Paris 06, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, France

Abstract:	We develop a residual-based a posteriori error analysis for the augmented mixed methods introduced in [13], [14] for the problem of linear elasticity in the plane. We prove that the proposed a posteriori error estimators are both reliable and efficient. Numerical experiments confirm these theoretical properties and illustrate the ability of the corresponding adaptive algorithms to localize the singularities and large stress regions of the solutions.

Keywords:
本文献已被 ScienceDirect 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏